JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Analyzing +4 | -1

3^{49}(x+i y)=\left(\frac{3}{2}+\frac{i}{2} \sqrt{3}\right)^{100}, y \in \mathbf{N}

, and

x=k y

, then value of

k

View answer and explanation

Correct option: B

\pm 2 \sqrt{2}

Option B (

\pm 2 \sqrt{2}

) is correct because by equating the magnitudes and using the given condition x=ky and y being a natural number, we find that k can be

\pm 2 \sqrt{2}

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